What is the Least Common Multiple of 95944 and 95964?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95944 and 95964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95944 and 95964, than apply into the LCM equation.

GCF(95944,95964) = 4
LCM(95944,95964) = ( 95944 × 95964) / 4
LCM(95944,95964) = 9207170016 / 4
LCM(95944,95964) = 2301792504

Least Common Multiple (LCM) of 95944 and 95964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95944 and 95964. First we will calculate the prime factors of 95944 and 95964.

Prime Factorization of 95944

Prime Factorization of 95964

Now multiplying the highest exponent prime factors to calculate the LCM of 95944 and 95964.

LCM(95944,95964) = 2³ × 67¹ × 179¹ × 3¹ × 11¹ × 727¹
LCM(95944,95964) = 2301792504